Slope of Graphs

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope?

Back

Slope is calculated using the formula: Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no vertical change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is an undefined slope?

Back

An undefined slope occurs with vertical lines where the x-value remains constant, resulting in a division by zero when calculating slope.

Tags

CCSS.8.EE.B.5

Front

What is the phrase used to remember how to find slope?

Back

Rise over Run.

Tags

CCSS.8.EE.B.5

Front

If a line rises 4 units and runs 5 units, what is the slope?

Back

The slope is 4/5.

Tags

CCSS.8.EE.B.5

Front

If a line falls 3 units and runs 5 units, what is the slope?

Back

The slope is -3/5.

Tags

CCSS.8.EE.B.5

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Tags

CCSS.8.EE.B.5